## Prof. Ilya Tyomkin

#### Time and Place:

• יום א 16:00 - 14:00 בגולדברגר [28] חדר 204
• יום ג 12:00 - 10:00 בביה”ס אילנות [97] חדר 201

## Course topics

• Complex numbers. Fields: definition and properties. Examples.
• Systems of Linear equations. Gauss elimination process.
• Matrices and operations on them. Invertible matrices.
• Determinant: definition and properties. Adjoint matrix. Cramer rule.
• Vector spaces and subspaces. Linear spanning and linear dependence. Basis and dimension. Coordinates with respect to a given basis.
• Linear transformations. Kernel and Image. Isomorphism of vector spaces. Matrix of a linear transformation with respect to given bases.
• The space of linear transformations between two vector spaces. Dual space